34823435477000 has 128 divisors (see below), whose sum is σ = 86285954233440. Its totient is φ = 13109122252800.

The previous prime is 34823435476987. The next prime is 34823435477009. The reversal of 34823435477000 is 77453432843.

It can be written as a sum of positive squares in 16 ways, for example, as 832506606724 + 33990928870276 = 912418^2 + 5830174^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 34823435477000.

It is not an unprimeable number, because it can be changed into a prime (34823435477009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290249024 + ... + 290368976.

Almost surely, 2^{34823435477000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34823435477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43142977116720).

34823435477000 is an abundant number, since it is smaller than the sum of its proper divisors (51462518756440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34823435477000 is a wasteful number, since it uses less digits than its factorization.

34823435477000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137068 (or 137054 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 50.

The spelling of 34823435477000 in words is "thirty-four trillion, eight hundred twenty-three billion, four hundred thirty-five million, four hundred seventy-seven thousand".